2а²+а²-17-3а²+а⁴+а²+20= -7а²+2вс-8с²+4с²+2а²-9=

Let's simplify each expression one by one.

1. For the first expression:

\[ 2a^2 + a^2 - 17 - 3a^2 + a^4 + a^2 + 20 \]

Combine like terms:

• Combine the \(a^2\) terms: \[ 2a^2 + a^2 - 3a^2 + a^2 = (2 + 1 - 3 + 1)a^2 = 1a^2 = a^2 \]

• Combine the constant terms: \[ -17 + 20 = 3 \]

The entire expression simplifies to: \[ a^4 + a^2 + 3 \]

2. For the second expression:

\[ -7a^2 + 2bc - 8c^2 + 4c^2 + 2a^2 - 9 \]

Combine like terms:

• Combine the \(c^2\) terms: \[ -8c^2 + 4c^2 = -4c^2 \]

• Combine the \(a^2\) terms: \[ -7a^2 + 2a^2 = -5a^2 \]

• Combine the constant term: \[ -9 \]

The entire expression simplifies to: \[ -5a^2 + 2bc - 4c^2 - 9 \]

Final Results:

1. \( a^4 + a^2 + 3 \)
2. \( -5a^2 + 2bc - 4c^2 - 9 \)